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Meta
Tag Archives: Cohen-Macaulay
The horizontal Breuil-Mezard conjecture
Postdoc hiring season will be upon us soon! I have two excellent graduate students who will be applying for academic jobs soon, Chengyang Bao and Andreea Iorga. I have mentioned Chengyang’s first project before here and an introduction to the … Continue reading
Posted in Mathematics, Students, Work of my students
Tagged Andreea Iorga, Andrew Wiles, Ariane Mézard, Breuil-Mezard, Chengyang Bao, Christophe Breuil, Cohen-Macaulay, Galois Representations, Gorenstein, Hilbert, Hiring Season, Kevin Buzzard, Local Langlands, Mark Kisin, Richard Taylor, Sandra Rozensztajn, Taylor-Wiles, Toby Gee
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Jacquet-Langlands and an old R=T conjecture
This is part 2 of a series of posts on R=T conjectures for inner forms of GL(2). (See here for part 1). (Edit: this is still incorrect and there should have been a part 3, but I’ve been distracted… in … Continue reading
Are Galois deformation rings Cohen-Macaulay?
Hyman Bass once wrote a paper on the ubiquity of Gorenstein rings. The first time they arose in the context of Hecke algebras, however, was Barry’s Eisenstein ideal paper, where he proves (at prime level) that the completions \(\mathbf{T}_{\mathfrak{m}}\) are … Continue reading
Posted in Mathematics
Tagged Andrew Snoden, Cohen-Macaulay, Fabien Sander, Gorenstein, Hecke Algebra, Kevin Buzzard, Lloyd Kilford, Ordinary
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